{
  "annotation_id": "2a15d62c-c18d-4f79-82c6-2227d55c912d",
  "date_created": "2026-03-02T18:01:56.275000Z",
  "date_modified": "2026-03-02T18:01:56.275000Z",
  "file_hash": "adaf8d8c779b006dc47b7c8344b137b687c12d51c863f7c1735ae8c14d92363e",
  "private": false,
  "record": {
    "abstract": "Irreducible second-order Darboux transformations are applied to the periodic\nSchrodinger\u0027s operators. It is shown that for the pairs of factorization\nenergies inside of the same forbidden band they can create new non-singular\npotentials with periodicity defects and bound states embedded into the spectral\ngaps. The method is applied to the Lame and periodic piece-wise transparent\npotentials. An interesting phenomenon of translational Darboux invariance\nreveals nonlocal aspects of the supersymmetric deformations.",
    "arxiv_id": "quant-ph/0303051",
    "authors": [
      "David J. Fernandez C.",
      "Bogdan Mielnik",
      "Oscar Rosas-Ortiz",
      "Boris F. Samsonov"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/35/19/309",
    "journal_ref": "J.Phys.A35:4279-4291,2002",
    "title": "Nonlocal supersymmetric deformations of periodic potentials",
    "url": "https://arxiv.org/abs/quant-ph/0303051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a56388f5-1944-4b12-8d6a-e62fc4b3ad46",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}